Large N Matrix Mechanics on the Light-Cone

Abstract

We report a simplification in the large N matrix mechanics of light-cone matrix field theories. The absence of pure creation or pure annihilation terms in the Hamiltonian formulation of these theories allows us to find their reduced large N Hamiltonians as explicit functions of the generators of the Cuntz algebra. This opens up a free-algebraic playground of new reduced models -- all of which exhibit new hidden conserved quantities at large N and all of whose eigenvalue problems are surprisingly simple. The basic tool we develop for the study of these models is the infinite dimensional algebra of all normal-ordered products of Cuntz operators, and this algebra also leads us to a special number-conserving subset of these models, each of which exhibits an infinite number of new hidden conserved quantities at large N.

23 pages, LaTex, one reference added

References in corpus (1)

• Infinite Dimensional Free Algebra and the Forms of the Master Field

Cited by in corpus (6)

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• Fock space methods and large N
• On the Large N Limit of Conformal Field Theory